6.4 Intrinsic functions

Several intrinsic functions are defined. Each function is referenced, as in FORTRAN, by its name immediately followed by a pair of parentheses ( and ) that include the list of arguments. Trigonometric and arithmetic functions are listed in Table 6.2. Table 6.3 contains various random number generating functions.

 

Table 6.2: Trigonometric and arithmetic functions

Type	Name	Description
real	sin(r) cos(r) tan(r)	Sine, cosine and tangent of <r> in radian
real	sind(r) cosd(r) tand(r)	Sine, cosine and tangent of <r> in degrees
real	asin(r) acos(r) atan(r)	Arc sin, cosine, tangent of <r>, result in radian
real	asind(r) acosd(r) atand(r)	Arc sin, cosine, tangent of <r>, result in degrees
real	sqrt(r)	Square root of <r>
real	exp(r)	Exponential of <r>, base e
real	ln(r)	Logarithm of <r>
real	sinh(r) cosh(r) tanh(r)	Hyperbolic sine, cosine and tangent of <r>
real	abs(r)	Absolute value of <r>
integer	mod(r1, r2)	Modulo <r1> of <r2>
integer	int(r)	Convert <r> to integer
integer	nint(r)	Convert <r> to nearest integer
real	frac(r)	Returns fractional part of <r>

 

Table 6.3: Random number functions

Type	Name	Description
real	ran(r)	Uniformly distributed pseudo random number between 0.0 and 1.0. Argument <r> is a dummy
real	gran(r1, typ)	Gaussian distributed random number with mean 0 and a width given by <r1>. If <typ> is "s" <r1> is taken as sigma, if <typ> is "f" <r1> is taken as FWHM.
real	gbox(r1, r2, r3)	Returns pseudo random number with distribution given by a box centered at 0 with a width of <r2> and two half Gaussian distributions with individual sigmas of <r1> and <r3> to the left and right, respectively.